53681400 has 96 divisors (see below), whose sum is σ = 184921200. Its totient is φ = 14313600.

The previous prime is 53681377. The next prime is 53681431. The reversal of 53681400 is 418635.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430 + ... + 10370.

Almost surely, 2^53681400 is an apocalyptic number.

53681400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92460600).

53681400 is an abundant number, since it is smaller than the sum of its proper divisors (131239800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53681400 is a wasteful number, since it uses less digits than its factorization.

53681400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9966 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53681400 is about 7326.7591744236. The cubic root of 53681400 is about 377.2314948098.

The spelling of 53681400 in words is "fifty-three million, six hundred eighty-one thousand, four hundred".